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- Title
Centralizers of irreducible subgroups in the projective linear group.
- Authors
Guérin, Clément
- Abstract
In this paper, we classify conjugacy classes of centralizers of irreducible subgroups in PGL(n, ℂ) using alternate modules. When n is square-free, we prove that these conjugacy classes are classified by their isomorphism classes. More generally, we define a finite graph related to this classification whose combinatorial properties are expected to help describe the stratification of the bad locus of some character varieties.
- Subjects
ISOMORPHISM (Crystallography); COMBINATORICS; CYCLIC groups; ABELIAN groups; ORTHOGONAL functions
- Publication
Journal of Group Theory, 2018, Vol 21, Issue 5, p789
- ISSN
1433-5883
- Publication type
Article
- DOI
10.1515/jgth-2018-0021